# Opinion Diffusion and Campaigning on Society Graphs

arXiv: https://arxiv.org/abs/2010.00651 · HTML: https://mlsanity.com/paper/2010.00651/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 1 Oct 2020.

## Built on by (most cited first, 3 of 3)

- [Majority Opinion Diffusion in Social Networks: An Adversarial Approach](https://mlsanity.com/paper/2012.03143/) (2020)
- [Bolzano: Case Studies in LLM-Assisted Mathematical Research](https://mlsanity.com/paper/2604.16989/) (2026)
- [A Generalisation of Voter Model: Influential Nodes and Convergence Properties](https://mlsanity.com/paper/2411.04564/) (2024)

## Abstract (arXiv)

We study the effects of campaigning, where the society is partitioned into voter clusters and a diffusion process propagates opinions in a network connecting the clusters. Our model is very powerful and can incorporate many campaigning actions, various partitions of the society into clusters, and very general diffusion processes. Perhaps surprisingly, we show that computing the cheapest campaign for rigging a given election can usually be done efficiently, even with arbitrarily-many voters. Moreover, we report on certain computational simulations.